Almost local-global rings
| dc.contributor.advisor | Ay Saylam, Başak | en_US |
| dc.contributor.author | Susuzlu, İdem | |
| dc.date.accessioned | 2023-11-13T09:21:35Z | |
| dc.date.available | 2023-11-13T09:21:35Z | |
| dc.date.issued | 2017-07 | |
| dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2017 | en_US |
| dc.description | Includes bibliographical references (leaves: 43-44) | en_US |
| dc.description | Text in English; Abstract: Turkish and English | en_US |
| dc.description.abstract | The main purpose of this thesis is to investigate the Invariant Factor Theorem for Prüfer domains. In accordance with this aim, we give a survey of necessary and su cient conditions on a Prüfer domain to satisfy the Invariant Factor Theorem. In this process, almost local-global rings have important role since they satisfy the USC-property. Regarding to the UCS-property, BCS-rings together with their properties are also investigeted. | en_US |
| dc.description.abstract | Bu tezde Prüfer tamlık bölgeleri üzerinde Invariant Factor Teoremi incelenmiştir. Bu amaç doğrultusunda, Prüfer tamlık bölgesi üzerine bu teoremi sağlayabilmesi için gerekli ve yeterli koşullar verilmiştir. Bu süreçte, neredeyse yerel-bütünsel halkalar UCS özelliğine sahip oldukları için büyük önem taşımaktadırlar. UCS özelliğiyle bağlantılı olarak BCS halkaları ve özellikleri de incelenmiştir. | en_US |
| dc.description.sponsorship | TUBITAK (MFAG/113F235) | en_US |
| dc.format.extent | vii, 44 leaves | |
| dc.identifier.uri | http://standard-demo.gcris.com/handle/123456789/3844 | |
| dc.language.iso | en | en_US |
| dc.publisher | Izmir Institute of Technology | en_US |
| dc.relation | info:eu-repo/grantAgreement/TUBITAK/MFAG/113F235 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Rings (Algebra) | en_US |
| dc.subject | Prüfer domains | en_US |
| dc.subject | GCU-property | en_US |
| dc.subject | Picard group | en_US |
| dc.subject | UCS-property | en_US |
| dc.subject | Invariant Factor Theorem | en_US |
| dc.title | Almost local-global rings | en_US |
| dc.title.alternative | Neredeyse yerel-bütünsel olan halkalar | en_US |
| dc.type | Master Thesis | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Susuzlu, İdem | |
| gdc.description.department | Mathematics | en_US |
| gdc.description.publicationcategory | Tez | en_US |
| gdc.oaire.accepatencedate | 2017-01-01 | |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Mathematics | |
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